Assessment Schedule – 2014 Calculus: Apply integration methods in solving problems (91579) Evidence Statement




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NCEA Level 3 Calculus (91579) 2014 — page of


Assessment Schedule – 2014

Calculus: Apply integration methods in solving problems (91579)

Evidence Statement

Q1

Expected Coverage

Achievement

u

Merit

r

Excellence

t

(a)



Correct integral.







(b)



Correct solution with correct integral.
Accept 1.27









(c)




Correct integral.

Correct integral and correct solution.
Units not required.




(d)



Correct integral



(3rd line).

Correct solution with correct Integral.
Units not required.







(e)






Correct integral.

Correct solution with correct integral.






N1

N2

A3

A4

M5

M6

E7

E8

No response; no relevant evidence.

ONE answer demonstrating limited knowledge of integration techniques

ONE correct integration

2u

3u

1r

2r

1t with minor errors ignored

1t




Q2

Expected Coverage

Achievement

Merit

Excellence

(a)




Correct integral.







(b)



Correct solution with correct integrals given.







(c)



Correct total area with correct integral.

OR

Correct 3rd line in alternative method.



Correct solution with correct total area and correct integral.




(d)



Correct general solution.

Correct solution.




(e)



Correct area with correct integration.

Correct area with correct integration and 1 correct coordinate.

Correct area with correct integration and 2 correct coordinates.






N1

N2

A3

A4

M5

M6

E7

E8

No response; no relevant evidence.

ONE answer demonstrating limited knowledge of integration techniques

ONE correct integration

2u

3u

1r

2r

1t with minor errors ignored

1t



Q3

Expected Coverage

Achievement

Merit

Excellence

(a)

5

Correct solution.







(b)



Correct solution.







(c)(i)

(ii)




Correct DE and correct general solution (3rd line).

Correct DE, correct general solution and correct answer.

Units not required.






(d)



Correct integration.

Correct integration and correct solution.




(e)



Correct integration.


Correct integration and correct values of the constants.

Correct integration, correct values of the constants and correct solution.




N1

N2

A3

A4

M5

M6

E7

E8

No response; no relevant evidence

ONE answer demonstrating limited knowledge of integration techniques

ONE correct integration

2u

3u

1r

2r

1t with minor errors ignored

1t



Cut Scores




Not Achieved

Achievement

Achievement with Merit

Achievement with Excellence

Score range


0 – 6

7 – 12

13 – 19

20 – 24


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